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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=1/3, b>=a > For fixed z and a=1/3, b=11/3





http://functions.wolfram.com/07.23.03.7506.01









  


  








Input Form





Hypergeometric2F1[1/3, 11/3, -(9/2), -z] == (1/(4199040 (1 + z)^(17/2))) ((4199040 + 37065600 z + 146522880 z^2 + 344160768 z^3 + 548065024 z^4 + 763023616 z^5 + 81946953 z^6 + 18459892 z^7 + 1995664 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-1399680 - 11370240 z - 40947200 z^2 - 86726656 z^3 - 124411136 z^4 + 73465381 z^5 + 17462060 z^6 + 1995664 z^7) Sinh[ArcSinh[Sqrt[z]]/3])








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02